Global Quantitative Sensitivity Analysis and Compensation of Geometric Errors of CNC Machine Tool

Guo, Shijie; Zhang, Dongsheng; Xi, Yang

doi:10.1155/2016/2834718

Cited by 15 publications

(13 citation statements)

References 40 publications

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Section: Global Maximum Interval Sensitivity Analysis To Spatial Erromentioning

confidence: 99%

“…Based on the sensitivity design, by assigning a tolerance interval to each error source, all geometric error sources of the machine tool can meet the design requirements in space. By Equation (18), each geometric error source to the spatial error of the global maximum interval sensitivity can be calculated, as shown in Figure 7. Three angular errors ; and result from the forward and backward movement of the slide ram have no effect on the spatial error, but the other geometric error sources have varying degrees of influence on the spatial error.…”

Section: Global Maximum Interval Sensitivity Analysis To Spatial Erromentioning

confidence: 99%

“…Los et al [17] proposed an adaptive Monte Carlo method to analyze the uncertainty of geometric errors in 5-axis machine tools. Guo et al used various methods for error sensitivity analysis and error optimization methods, such as the use of extended Fourier amplitude sensitivity test method to establish a quantitative global sensitivity analysis model for geometric error elements, which is suitable for identifying the key geometric errors and improving the precision of CNC machine tools effectively [18]. In addition, he used the global sensitivity analysis method to quantitatively analyzed the influence of uncertainty of geometric error on the multidimensional output simultaneously [19,20].…”

Section: Introductionmentioning

confidence: 99%

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A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

Zhao

Luo

2020

Symmetry

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Turn-Milling Combined NC machine tool is different from traditional machine tools in structure and process realization. As an important means in the design stage, the analysis method of geometric accuracy error is also different from the traditional method. The actual errors and the error compensation values are a pair of "symmetry" data sets which are connected by the movement of machine tools. The authors try to make them more consistent through this work. The geometric error terms were firstly determined by topological structure analysis, then based on homogeneous coordinate transformation and multibody system theory, the geometric error model was established. With the interval theory, the function rule of sensitivity of geometric error sources to spatial errors was analyzed in detail, and the global maximum interval sensitivity of nine geometric error sources was extracted, providing a theoretical basis for error compensation and precision distribution. The geometric error sensitivity analysis method proposed in this paper can accurately evaluate the influence weights of each error term on the machining accuracy, and identify the important sensitive error terms with great influence on the machining accuracy from many error terms.

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Section: Global Maximum Interval Sensitivity Analysis To Spatial Erromentioning

confidence: 99%

Section: Global Maximum Interval Sensitivity Analysis To Spatial Erromentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

Zhao

Luo

2020

Symmetry

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“…e high machining accuracy of mechanical parts becomes increasingly essential in the fields of electronic communications, biomedicine, and aerospace [1][2][3]. e evaluation of machining accuracy requires the support of measurement technology, and the processing technology is supplementary to the measurement technology.…”

Section: Introductionmentioning

confidence: 99%

Error Distribution of a 5-Axis Measuring Machine Based on Sensitivity Analysis of Geometric Errors

Zou

Zhao

Wang

et al. 2020

Mathematical Problems in Engineering

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Geometric errors are inevitably introduced into any multiaxis measuring system, and the geometric error is one of the main factors that seriously affects the measurement accuracy. The present work investigates the error distribution of the prototype of a 5-axis measuring machine based on sensitivity analysis of geometric errors. The measurement error modeling of the 5-axis measuring machine is first established via the homogeneous coordinate transformation, and the Sobol global sensitivity analysis method is then employed to quantify the influence of geometric errors on the measurement result with the sensitivity index. The result shows that most of the angular errors are the crucial geometric errors seriously affecting the measurement result. These errors are supposed to be fully considered in the accuracy design and manufacturing stages. The error levels of the crucial geometric errors were distributed and readjusted according to the sensitivity analysis result. Some practical approaches to distribute and improve the crucial geometric errors have been given in detail. The error distribution method is effective to equalize the influence of the crucial geometric errors on the measurement result as possible. The findings of this study provide significant meanings for the optimal design and accurate manufacturing of the 5-axis measuring machine, and the proposed method can be used to improve the measurement accuracy of the 5-axis measuring machine.

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“…The use of curve segments can significantly reduce the nonlinear error directly caused by the motion of translational axes [3]. However, since a nonlinear relationship exists between the position coordinates of the rotation axes and components of tool orientation, the tool will deviate from the plane generated by the initial and final tool orientations during machining and will travel in a curved trajectory instead of the desired straight path, leading to nonlinear error [4][5][6][7]. Therefore, research on the relationship between the motion of rotation axes and nonlinear errors has very important directive to improve machining efficiency and to achieve more accurate motion control of axes in five-axis machining.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Nonlinear Error Caused by Motions of Rotation Axes for Five-Axis Machine Tools with Orthogonal Configuration

Geng

Qiu

2018

Mathematical Problems in Engineering

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Since a nonlinear relationship exists between the position coordinates of the rotation axes and components of the tool orientation, the tool will deviate from the required plane, resulting in nonlinear errors and deterioration of machining accuracy. Few attempts have been made to obtain a general formula and common rules for nonlinear error because of the existence of various kinematic structures of machine tools with orthogonal configuration. This paper analyzes the relationship between the deviation of cutter location points and motion of tool orientations. Five-axis CNC machine tools are divided into two groups according to the configuration of the two rotational joints and the home position. Motions of the tool are regarded as a combination of translation and rotation. A model for error calculation is then built. The maximum deviation of the tool with respect to the reference plane generated by the initial and the final orientation is used to quantify the magnitude of the errors. General formulas are derived and common change rules are analyzed. Finally, machining experiment is conducted to validate the theoretical analysis. The research has important implications on the selection of a particular kinematic configuration that may achieve higher accuracy for a specific machining task.

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Global Quantitative Sensitivity Analysis and Compensation of Geometric Errors of CNC Machine Tool

Cited by 15 publications

References 40 publications

A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

Error Distribution of a 5-Axis Measuring Machine Based on Sensitivity Analysis of Geometric Errors

Analysis of Nonlinear Error Caused by Motions of Rotation Axes for Five-Axis Machine Tools with Orthogonal Configuration

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